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200144944 = 241741131137
BaseRepresentation
bin10111110110111…
…11100000110000
3111221121102020201
423323133200300
5402214114234
631505444544
74650126646
oct1373374060
9457542221
10200144944
11a2a8194a
1257040754
133260827c
141c81d196
1512887314
hexbedf830

200144944 has 80 divisors (see below), whose sum is σ = 426910176. Its totient is φ = 90521600.

The previous prime is 200144939. The next prime is 200144947. The reversal of 200144944 is 449441002.

It is not an unprimeable number, because it can be changed into a prime (200144947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460844 + ... + 1460980.

Almost surely, 2200144944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200144944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213455088).

200144944 is an abundant number, since it is smaller than the sum of its proper divisors (226765232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200144944 is a wasteful number, since it uses less digits than its factorization.

200144944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 200144944 is about 14147.2592398669. The cubic root of 200144944 is about 584.9447864709.

Adding to 200144944 its reverse (449441002), we get a palindrome (649585946).

The spelling of 200144944 in words is "two hundred million, one hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 131 136 137 164 262 272 274 328 524 548 656 697 1048 1096 1394 2096 2192 2227 2329 2788 4454 4658 5371 5576 5617 8908 9316 10742 11152 11234 17816 17947 18632 21484 22468 35632 35894 37264 42968 44936 71788 85936 89872 91307 95489 143576 182614 190978 287152 305099 365228 381956 610198 730456 735827 763912 1220396 1460912 1471654 1527824 2440792 2943308 4881584 5886616 11773232 12509059 25018118 50036236 100072472 200144944